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Finding the Fourth Proportional to 3,185.82, 4,777.36 and 1,624.16

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Solution

The fourth proportional to 3,185.82, 4,777.36 and 1,624.16 is: 2,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.82 : 4,777.36 = 1,624.16 : x
  2. Step 2: Convert to fraction form
    3,185.82/4,777.36 = 1,624.16/x
  3. Step 3: Cross multiply
    3,185.82x = 4,777.36 × 1,624.16
  4. Step 4: Simplify right side
    3,185.82x = 7,759,197.02
  5. Step 5: Solve for x
    x = 7,759,197.02/3,185.82
  6. Step 6: Final answer
    x = 2,435.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.